We have two lines : $$L_1 : a_1x+b_1y+c_1=0,\quad L_2 : a_2x+b_2y+c_2=0$$ and the angle bisectors : $$L_{\pm} : \frac{a_1x+b_1y+c_1}{\sqrt{a_1^2+b_1^2}}=\pm\frac{a_2x+b_2y+c_2}{\sqrt{a_2^2+b_2^2}}$$ If we let $\theta$ be the (smaller) angle between $L_+$ and $L_1$, then we have $$\cos\theta=\frac{\left|a_1\left(\frac{a_1}{\sqrt{a_1^2+b_1^2}}-\frac{ ...
Tomatoes run on warmth; plant in late spring and early summer except in zone 10, where they are a fall and winter crop. Devote a prime, sunny spot to growing tomatoes. Tomatoes need at least 6 to 8 hours of sun to bring out their best flavors.
Tomatoes are a warm-season annual that grow best when the soil temperature is at least 55Â°F and the air temperature ranges between 65Â° and 90Â°F. Tomatoes require from 50 to more than 90 warm, frost-free days to reach harvest. Tomatoes are commonly grown from seedlings started indoors and transplanted into the garden. Start tomato seed indoors as early as 8 to 6 weeks before the average date of the last spring frost. Garden soil is usually warm enough for tomato transplants 2 to 3 weeks after the last frost.